What is the length of BC in the right triangle below?

arsen [322]

Looks good to me. Calculation is correct. Although you might want to add to #1 your description; that the width of the rectangle is the circumference of the circle (w = 2πr) and that you add the surfaces together to get the total surface area.
total surface area = area of rectangular part + area of circular parts
SA = 2πrL + 2πr²

7 0

4 years ago

A pakage of 5 pairs of inclated gloves cost $29.45 what is the unit costof the pairs of gloves

castortr0y [4]

I'm not entirely sure of your question, but I'll try to answer haha. If you're asking what the unit would be for a pair of gloves, it would still be in dollars. If you're asking how much one pair of gloves costs, you would divide the total number (29.45) by the number of items you have (5 pairs). Your answer is $5.89 for a pair of gloves. Hope this helps, but sorry if it doesn't!

3 0

3 years ago

Find the missing term of 3b2 − = -9b2 ?<br> -6b^2<br> -9b^2<br> -12b^2

gladu [14]

3b^2 - x = -9b^2
x = 3b^2 +9b^2

x = 12b^2

3b^2 -12b^2 = -9b^2

hope this will help you

7 0

4 years ago

Can i get help? Don’t really understand.

Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

$m\angle WOX=180^\circ-104^\circ=76^\circ$

Second option: correct. By the inscribed angles theorem, we have

$m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ$

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

$\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ$

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

$\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ$

4 0

3 years ago

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard.

Radda [10]

Answer:

Zelie should have divided both numbers by 14 to find the scale (2)

Step-by-step explanation:

3 0

4 years ago

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